### Abstract

We propose a new method for quantum Monte Carlo simulations with the negative-sign problem. In the conventional method, one simulates a virtual system whose Boltzmann factors are the absolute values of the original one, and analyzes the data so that the correct expression for physical quantities may be recovered. We simulate a different virtual system with properties closer to the original system and yet without the negative-sign problem. Comparison between the present method and the conventional one is made for the antiferromagnetic Heisenberg model on the 4 x 4 square lattice with frustrations (J1-J2 model). We conclude that the present method is useful in the low-temperature region where the negative-sign problem becomes serious. It is also shown that the method is considerably efficient on the point that quantities for different parameters can be obtained in a single run.

Original language | English |
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Pages (from-to) | 3494-3502 |

Number of pages | 9 |

Journal | journal of the physical society of japan |

Volume | 61 |

Issue number | 10 |

DOIs | |

Publication status | Published - 1992 Jan |

### Keywords

- J1-J2 model
- negative-sign problem
- quantum Monte Carlo method
- reweighting method

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

*journal of the physical society of japan*,

*61*(10), 3494-3502. https://doi.org/10.1143/JPSJ.61.3494